
Time bar (total: 7.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 678.0ms | 8 256× | 0 | valid |
ival-add: 148.0ms (65% of total)ival-div: 63.0ms (27.7% of total)ival-true: 7.0ms (3.1% of total)exact: 6.0ms (2.6% of total)ival-assert: 3.0ms (1.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (+.f64 y #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 37.0ms | 512× | 0 | valid |
Compiled 43 to 22 computations (48.8% saved)
ival-add: 20.0ms (80.2% of total)ival-div: 4.0ms (16% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 43 |
| 1 | 41 | 43 |
| 2 | 74 | 40 |
| 3 | 94 | 40 |
| 4 | 120 | 39 |
| 5 | 137 | 39 |
| 6 | 148 | 39 |
| 7 | 150 | 39 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 16 | 7 |
| 2 | 17 | 7 |
| 0 | 17 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 y #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 9 | 16 |
| 1 | 16 | 16 |
| 2 | 17 | 16 |
| 0 | 17 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(+.f64 x y) |
x |
y |
(+.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.0 | (+.f64 x y) | |
| accuracy | 0.0078125 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 12.0ms | 256× | 0 | valid |
Compiled 18 to 8 computations (55.6% saved)
ival-add: 3.0ms (60.5% of total)ival-div: 2.0ms (40.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(+.f64 x y) |
(+.f64 y #s(literal 1 binary64)) |
| Outputs |
|---|
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
y |
(+ x y) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
x |
(* x (+ 1 (/ y x))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
1 |
(+ 1 y) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ 1 y))) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | -inf | ((/ (+ x y) (+ y 1)) (+ x y) (+ y 1)) |
| 1.0ms | x | @ | -inf | ((/ (+ x y) (+ y 1)) (+ x y) (+ y 1)) |
| 1.0ms | x | @ | inf | ((/ (+ x y) (+ y 1)) (+ x y) (+ y 1)) |
| 0.0ms | y | @ | inf | ((/ (+ x y) (+ y 1)) (+ x y) (+ y 1)) |
| 0.0ms | x | @ | 0 | ((/ (+ x y) (+ y 1)) (+ x y) (+ y 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 243 |
| 1 | 270 | 228 |
| 2 | 789 | 202 |
| 3 | 3223 | 198 |
| 0 | 8285 | 186 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
y |
(+ x y) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
x |
(* x (+ 1 (/ y x))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
1 |
(+ 1 y) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ 1 y))) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
| Outputs |
|---|
(/ y (+ 1 y)) |
(/.f64 y (-.f64 y #s(literal -1 binary64))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/.f64 (+.f64 y x) (-.f64 y #s(literal -1 binary64))) |
y |
(+ x y) |
(+.f64 y x) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/.f64 (fma.f64 (/.f64 y x) x x) (-.f64 y #s(literal -1 binary64))) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(/.f64 (fma.f64 (/.f64 y x) x x) (-.f64 y #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 (-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) y x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(-.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (+.f64 y x) y) y) x) y) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) y) #s(literal 1 binary64)) y)) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ 1 y))) |
(-.f64 y #s(literal -1 binary64)) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 43 | 13 |
| 2 | 280 | 13 |
| 3 | 3040 | 13 |
| 0 | 10269 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(+.f64 x y) |
(+.f64 y #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 x y)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 (+.f64 y x) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 #s(literal 1 binary64) y)))) |
(*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 y x) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 y x) y) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 y x) y) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 y x) y) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (-.f64 y x) y) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) x) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (fma.f64 y y y))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 #s(literal 1 binary64) y)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 #s(literal 1 binary64) y)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y)) (*.f64 (neg.f64 y) y))) (*.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (fma.f64 (*.f64 y (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (fma.f64 y y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 y (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 x (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 y (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 y (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (fma.f64 (*.f64 y (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))) |
(/.f64 (fma.f64 (*.f64 y (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (fma.f64 (*.f64 y (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))) |
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(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x))) |
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y)))) |
(+.f64 (neg.f64 y) (neg.f64 x)) |
(+.f64 (neg.f64 x) (neg.f64 y)) |
(+.f64 y x) |
(+.f64 x y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (*.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (*.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (*.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64))) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (*.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) (neg.f64 (-.f64 y #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -2 binary64))) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 y #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (-.f64 y #s(literal 1 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 y #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (-.f64 y #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (neg.f64 (neg.f64 (-.f64 y #s(literal 1 binary64))))) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(neg.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (neg.f64 y))) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) |
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (neg.f64 y)) |
(+.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y))) |
(+.f64 #s(literal 1 binary64) y) |
(+.f64 y #s(literal 1 binary64)) |
Compiled 23 423 to 1 929 computations (91.8% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 595 | 5 | 600 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 595 | 6 | 601 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| ▶ | 86.7% | (/.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (+.f64 y #s(literal 1 binary64))) |
| ▶ | 49.6% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) y x)) |
| ▶ | 49.8% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
| ▶ | 50.1% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
| ▶ | 52.1% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
Compiled 153 to 108 computations (29.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) y x) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) y x)) | |
| cost-diff | 1 | (-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (-.f64 y #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 y (-.f64 y #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) | |
| cost-diff | 0 | (-.f64 y #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 x (-.f64 y #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (+.f64 y #s(literal 1 binary64))) | |
| cost-diff | 3 | (fma.f64 (/.f64 y x) x x) |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 162 |
| 0 | 42 | 162 |
| 1 | 62 | 162 |
| 2 | 98 | 159 |
| 3 | 195 | 153 |
| 4 | 420 | 153 |
| 5 | 1259 | 153 |
| 6 | 4851 | 150 |
| 7 | 7822 | 150 |
| 0 | 8013 | 150 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (+.f64 y #s(literal 1 binary64))) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
(fma.f64 (/.f64 y x) x x) |
(/.f64 y x) |
y |
x |
(+.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
x |
(-.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
(/.f64 y (-.f64 y #s(literal -1 binary64))) |
y |
(-.f64 y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) y x)) |
(fma.f64 (-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) y x) |
(-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
y |
| Outputs |
|---|
(/.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (+.f64 y #s(literal 1 binary64))) |
(/.f64 #s(approx (+ x y) (+.f64 y x)) (+.f64 #s(literal 1 binary64) y)) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
#s(approx (+ x y) (+.f64 y x)) |
(fma.f64 (/.f64 y x) x x) |
(+.f64 y x) |
(/.f64 y x) |
y |
x |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
x |
(-.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
(/.f64 y (-.f64 y #s(literal -1 binary64))) |
y |
(-.f64 y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x)) |
(fma.f64 (-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) y x) |
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x) |
(-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
y |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) | |
| accuracy | 0.01953125 | (fma.f64 (-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) y x) | |
| accuracy | 32.27852882325266 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) y x)) | |
| accuracy | 0.0 | (-.f64 y #s(literal -1 binary64)) | |
| accuracy | 0.0078125 | (/.f64 y (-.f64 y #s(literal -1 binary64))) | |
| accuracy | 31.923522916844835 | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) | |
| accuracy | 0.0 | (-.f64 y #s(literal -1 binary64)) | |
| accuracy | 0.00390625 | (/.f64 x (-.f64 y #s(literal -1 binary64))) | |
| accuracy | 30.627347105729957 | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) | |
| accuracy | 0.0 | (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 32.14659450849623 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) | |
| accuracy | 0.0 | (+.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.0 | #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) | |
| accuracy | 0.0078125 | (/.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (+.f64 y #s(literal 1 binary64))) | |
| accuracy | 8.202296234600405 | (fma.f64 (/.f64 y x) x x) |
| 60.0ms | 256× | 0 | valid |
Compiled 125 to 24 computations (80.8% saved)
ival-div: 23.0ms (50.3% of total)ival-add: 12.0ms (26.3% of total)ival-mult: 6.0ms (13.1% of total)ival-sub: 5.0ms (10.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 y x) x x) |
(/.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (+.f64 y #s(literal 1 binary64))) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
(/.f64 y x) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(-.f64 y #s(literal -1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
(/.f64 y (-.f64 y #s(literal -1 binary64))) |
(-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) y x)) |
(fma.f64 (-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) y x) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+.f64 y #s(literal 1 binary64)) |
(-.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
y |
(+ x y) |
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/ y x) |
(+ y (* x (+ 1 (* -1 y)))) |
1 |
(+ 1 (* -1 x)) |
(/ x (+ 1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (+ (* -1 y) (* x (- y 1)))) |
(* y (+ 1 (* -1 y))) |
(+ (* x (+ 1 (* y (- y 1)))) (* y (+ 1 (* -1 y)))) |
(+ 1 (+ (* -1 y) (* x y))) |
-1 |
(- x 1) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- y 1)) |
(* x (- (+ y (+ (* -1 (/ y x)) (/ 1 x))) 1)) |
(* x (+ 1 (* y (- y 1)))) |
(* x (+ 1 (+ (* y (- y 1)) (/ (* y (+ 1 (* -1 y))) x)))) |
(* x y) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(* x (- 1 (/ 1 x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))) |
(* -1 (* x (- (* y (+ 1 (* -1 y))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* -1 y))) x)) (* y (+ 1 (* -1 y)))) 1))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) |
(* -1 (* x (- (/ 1 x) 1))) |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(+ x (* -1 (* x y))) |
(+ x (* y (- (* x y) x))) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(+ 1 y) |
(* y (+ 1 (* y (- y 1)))) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
(- 1 x) |
(- (+ 1 (* y (- x 1))) x) |
(+ 1 (* y (- x 1))) |
(* y (+ 1 (/ x y))) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(* y (- 1 x)) |
(* y (- (+ 1 (/ x y)) x)) |
(/ x y) |
(/ (+ x (* -1 (/ x y))) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(* y (+ 1 (/ 1 y))) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(* y (- x 1)) |
(* y (- (+ x (/ 1 y)) (+ 1 (/ x y)))) |
(* (pow y 2) (- x 1)) |
(* (pow y 2) (- (+ x (/ 1 y)) (+ 1 (/ x y)))) |
(* (pow y 2) (- (+ x (+ (/ 1 y) (/ x (pow y 2)))) (+ 1 (/ x y)))) |
(* y (- (+ x (/ 1 y)) 1)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ (- 1 x) y))))) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ x y))) y))) 1)) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((+ (* (/ y x) x) x) (/ (+ x y) (+ y 1)) (+ x y) (/ y x) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (- y -1) (/ (+ x y) (+ y 1)) (/ y (- y -1)) (- (+ (* (- x 1) y) 1) x) (/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (+ (* (- x 1) y) 1) (+ y 1) (- x 1)) |
| 2.0ms | y | @ | 0 | ((+ (* (/ y x) x) x) (/ (+ x y) (+ y 1)) (+ x y) (/ y x) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (- y -1) (/ (+ x y) (+ y 1)) (/ y (- y -1)) (- (+ (* (- x 1) y) 1) x) (/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (+ (* (- x 1) y) 1) (+ y 1) (- x 1)) |
| 2.0ms | x | @ | -inf | ((+ (* (/ y x) x) x) (/ (+ x y) (+ y 1)) (+ x y) (/ y x) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (- y -1) (/ (+ x y) (+ y 1)) (/ y (- y -1)) (- (+ (* (- x 1) y) 1) x) (/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (+ (* (- x 1) y) 1) (+ y 1) (- x 1)) |
| 2.0ms | y | @ | -inf | ((+ (* (/ y x) x) x) (/ (+ x y) (+ y 1)) (+ x y) (/ y x) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (- y -1) (/ (+ x y) (+ y 1)) (/ y (- y -1)) (- (+ (* (- x 1) y) 1) x) (/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (+ (* (- x 1) y) 1) (+ y 1) (- x 1)) |
| 2.0ms | y | @ | inf | ((+ (* (/ y x) x) x) (/ (+ x y) (+ y 1)) (+ x y) (/ y x) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (- y -1) (/ (+ x y) (+ y 1)) (/ y (- y -1)) (- (+ (* (- x 1) y) 1) x) (/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (+ (* (- x 1) y) 1) (+ y 1) (- x 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 226 | 852 |
| 1 | 752 | 786 |
| 2 | 2472 | 743 |
| 0 | 8370 | 708 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
y |
(+ x y) |
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/ y x) |
(+ y (* x (+ 1 (* -1 y)))) |
1 |
(+ 1 (* -1 x)) |
(/ x (+ 1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (+ (* -1 y) (* x (- y 1)))) |
(* y (+ 1 (* -1 y))) |
(+ (* x (+ 1 (* y (- y 1)))) (* y (+ 1 (* -1 y)))) |
(+ 1 (+ (* -1 y) (* x y))) |
-1 |
(- x 1) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- y 1)) |
(* x (- (+ y (+ (* -1 (/ y x)) (/ 1 x))) 1)) |
(* x (+ 1 (* y (- y 1)))) |
(* x (+ 1 (+ (* y (- y 1)) (/ (* y (+ 1 (* -1 y))) x)))) |
(* x y) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(* x (- 1 (/ 1 x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))) |
(* -1 (* x (- (* y (+ 1 (* -1 y))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* -1 y))) x)) (* y (+ 1 (* -1 y)))) 1))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) |
(* -1 (* x (- (/ 1 x) 1))) |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(+ x (* -1 (* x y))) |
(+ x (* y (- (* x y) x))) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(+ 1 y) |
(* y (+ 1 (* y (- y 1)))) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
(- 1 x) |
(- (+ 1 (* y (- x 1))) x) |
(+ 1 (* y (- x 1))) |
(* y (+ 1 (/ x y))) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(* y (- 1 x)) |
(* y (- (+ 1 (/ x y)) x)) |
(/ x y) |
(/ (+ x (* -1 (/ x y))) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(* y (+ 1 (/ 1 y))) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(* y (- x 1)) |
(* y (- (+ x (/ 1 y)) (+ 1 (/ x y)))) |
(* (pow y 2) (- x 1)) |
(* (pow y 2) (- (+ x (/ 1 y)) (+ 1 (/ x y)))) |
(* (pow y 2) (- (+ x (+ (/ 1 y) (/ x (pow y 2)))) (+ 1 (/ x y)))) |
(* y (- (+ x (/ 1 y)) 1)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ (- 1 x) y))))) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ x y))) y))) 1)) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
| Outputs |
|---|
y |
(+ x y) |
(+.f64 x y) |
(/ y (+ 1 y)) |
(/.f64 y (-.f64 y #s(literal -1 binary64))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/.f64 (+.f64 x y) (-.f64 y #s(literal -1 binary64))) |
(/ y x) |
(/.f64 y x) |
(+ y (* x (+ 1 (* -1 y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (+ (* -1 y) (* x (- y 1)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) x)) |
(* y (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(+ (* x (+ 1 (* y (- y 1)))) (* y (+ 1 (* -1 y)))) |
(fma.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) x)) y x) |
(+ 1 (+ (* -1 y) (* x y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/.f64 (fma.f64 (/.f64 y x) x x) (-.f64 y #s(literal -1 binary64))) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(fma.f64 (-.f64 (/.f64 y x) y) x x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- (+ y (+ (* -1 (/ y x)) (/ 1 x))) 1)) |
(fma.f64 (-.f64 y (/.f64 y x)) x (-.f64 #s(literal 1 binary64) x)) |
(* x (+ 1 (* y (- y 1)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (* y (- y 1)) (/ (* y (+ 1 (* -1 y))) x)))) |
(fma.f64 (*.f64 x y) (-.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) y) x)) x) |
(* x y) |
(*.f64 x y) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(fma.f64 (-.f64 y (/.f64 y x)) x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(*.f64 (-.f64 (/.f64 (neg.f64 y) (fma.f64 x y x)) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64)))) (neg.f64 x)) |
(* -1 (* x (- y 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 (/.f64 y x) y) x x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))) |
(fma.f64 (-.f64 y (/.f64 y x)) x (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* x (- (* y (+ 1 (* -1 y))) 1))) |
(*.f64 (-.f64 y (fma.f64 y y #s(literal 1 binary64))) (neg.f64 x)) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* -1 y))) x)) (* y (+ 1 (* -1 y)))) 1))) |
(*.f64 (fma.f64 (+.f64 #s(literal -1 binary64) y) (/.f64 y x) (-.f64 y (fma.f64 y y #s(literal 1 binary64)))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) |
(fma.f64 (-.f64 y (/.f64 y x)) x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (neg.f64 x)) |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) x)) y x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (-.f64 x #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ x (* y (- (* x y) x))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x (neg.f64 x)) y x) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
(* y (+ 1 (* y (- y 1)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
(*.f64 (fma.f64 (-.f64 y (fma.f64 y y #s(literal 1 binary64))) y #s(literal 1 binary64)) y) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* y (- x 1))) x) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) x) y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(-.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) x) y) #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 (/.f64 x y) x) y y) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* -1 (/ x y))) y) |
(/.f64 (-.f64 x (/.f64 x y)) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x) y)) y) |
(* y (+ 1 (/ 1 y))) |
(-.f64 y #s(literal -1 binary64)) |
(- 1 (/ 1 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) y)) (/.f64 #s(literal 1 binary64) y)) |
(* y (- x 1)) |
(*.f64 (+.f64 #s(literal -1 binary64) x) y) |
(* y (- (+ x (/ 1 y)) (+ 1 (/ x y)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) y)) |
(* (pow y 2) (- x 1)) |
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) y) y) |
(* (pow y 2) (- (+ x (/ 1 y)) (+ 1 (/ x y)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) y)) y) |
(* (pow y 2) (- (+ x (+ (/ 1 y) (/ x (pow y 2)))) (+ 1 (/ x y)))) |
(*.f64 (-.f64 (-.f64 x (/.f64 (-.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) y)) #s(literal 1 binary64)) (*.f64 y y)) |
(* y (- (+ x (/ 1 y)) 1)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y)) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) x) y)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)) y)) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 (/.f64 x y) x) y y) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(/.f64 (-.f64 x (/.f64 x y)) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x) y)) y) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y)) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ (- 1 x) y))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) y)) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ x y))) y))) 1)) |
(*.f64 (-.f64 (-.f64 x (/.f64 (-.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) y)) #s(literal 1 binary64)) (*.f64 y y)) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
(*.f64 (-.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 145 |
| 0 | 42 | 145 |
| 1 | 172 | 145 |
| 2 | 1252 | 145 |
| 0 | 8422 | 145 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 y x) x x) |
(/.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (+.f64 y #s(literal 1 binary64))) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
(/.f64 y x) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(-.f64 y #s(literal -1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
(/.f64 y (-.f64 y #s(literal -1 binary64))) |
(-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) y x)) |
(fma.f64 (-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) y x) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+.f64 y #s(literal 1 binary64)) |
(-.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y x) x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y x) x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y x) x) x)) (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y x) x) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y x) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y x) x) x)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y x) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y x) x) x)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (/.f64 y x)) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 (/.f64 y x)) x) (*.f64 (neg.f64 (/.f64 y x)) x) (*.f64 x (*.f64 (neg.f64 (/.f64 y x)) x))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (/.f64 y x)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 x) (/.f64 y x)) (*.f64 (neg.f64 x) (/.f64 y x)) (*.f64 x (*.f64 (neg.f64 x) (/.f64 y x)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (/.f64 y x) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 y x) x) x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y x) x) x)) (*.f64 (-.f64 (*.f64 (/.f64 y x) x) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (/.f64 y x) x) x) (-.f64 (*.f64 (/.f64 y x) x) x))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64))) (*.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64))) (fma.f64 x (-.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 y x) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (/.f64 y x) x) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y x) x) x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (/.f64 y x) x) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y x) x) x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y x) x) |
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x x) x) |
(fma.f64 (/.f64 x x) (/.f64 y #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 y x) x)) |
(fma.f64 (/.f64 y x) (/.f64 x #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 y x) x x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 y x) x)) |
(fma.f64 x (/.f64 y x) x) |
(fma.f64 y (/.f64 x x) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 y x) x))) (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 y x) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y x) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y x) x) x))) |
(-.f64 x (*.f64 (neg.f64 (/.f64 y x)) x)) |
(-.f64 x (*.f64 (neg.f64 x) (/.f64 y x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y x) x) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y x) x) x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y x) x) x)))) (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y x) x) x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y x) x) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (/.f64 y x) x) x))) |
(+.f64 (*.f64 (/.f64 y x) x) x) |
(+.f64 x (*.f64 (/.f64 y x) x)) |
(*.f64 (/.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 (*.f64 y y) #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))))) (neg.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) y))))) |
(/.f64 (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 (*.f64 y y) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) (neg.f64 (+.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (+.f64 #s(literal 1 binary64) y)) |
(neg.f64 (/.f64 (neg.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) (+.f64 #s(literal 1 binary64) y))) |
(neg.f64 (/.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (neg.f64 (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 y x)) |
(*.f64 (/.f64 y x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 y) (neg.f64 x)) |
(/.f64 y x) |
(neg.f64 (/.f64 (neg.f64 y) x)) |
(neg.f64 (/.f64 y (neg.f64 x))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
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(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (-.f64 (*.f64 (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 y #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (-.f64 y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64)) |
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y)))) |
(+.f64 (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) y) |
(+.f64 y #s(literal 1 binary64)) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (fma.f64 (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
Compiled 14 443 to 1 813 computations (87.4% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 391 | 6 | 397 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 393 | 10 | 403 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| ✓ | 86.7% | (/.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (+.f64 y #s(literal 1 binary64))) |
| 39.5% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) x) y x)) | |
| ▶ | 39.1% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
| ▶ | 49.9% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
| ✓ | 50.1% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
| ✓ | 52.1% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
| ▶ | 15.7% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.f64 x y))) |
| ▶ | 12.6% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
| ▶ | 12.8% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
Compiled 291 to 193 computations (33.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | #s(approx (/ x (- y -1)) (/.f64 x y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.f64 x y))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- 1 x) (neg.f64 x)) | |
| cost-diff | 0 | (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) y) y) | |
| cost-diff | 0 | #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| cost-diff | 0 | #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) | |
| cost-diff | 0 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 200 |
| 0 | 46 | 200 |
| 1 | 65 | 200 |
| 2 | 99 | 200 |
| 3 | 187 | 200 |
| 4 | 388 | 200 |
| 5 | 638 | 200 |
| 6 | 1202 | 196 |
| 7 | 1581 | 196 |
| 8 | 2001 | 196 |
| 9 | 2697 | 196 |
| 10 | 3407 | 196 |
| 11 | 3924 | 196 |
| 12 | 4325 | 196 |
| 13 | 4663 | 196 |
| 14 | 7875 | 196 |
| 0 | 8043 | 192 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
x |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
(fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
x |
y |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.f64 x y))) |
#s(approx (/ x (- y -1)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
x |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
(fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
x |
y |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.f64 x y))) |
#s(approx (/ x (- y -1)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 30.627347105729957 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.f64 x y))) | |
| accuracy | 30.746785620224838 | #s(approx (/ x (- y -1)) (/.f64 x y)) | |
| accuracy | 0.0 | (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 32.14659450849623 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) | |
| accuracy | 33.36017621218571 | #s(approx (- 1 x) (neg.f64 x)) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 #s(literal 1 binary64) y) y) | |
| accuracy | 32.27852882325266 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) | |
| accuracy | 34.69875543273552 | #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.015625 | (*.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| accuracy | 23.87220212732231 | #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) | |
| accuracy | 32.14659450849623 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) | |
| accuracy | 0.0 | (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) | |
| accuracy | 29.989554677407085 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| accuracy | 32.14659450849623 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
| 40.0ms | 256× | 0 | valid |
Compiled 115 to 24 computations (79.1% saved)
ival-sub: 6.0ms (24.9% of total)ival-add: 6.0ms (24.9% of total)ival-mult: 6.0ms (24.9% of total)ival-div: 5.0ms (20.7% of total)ival-neg: 1.0ms (4.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(-.f64 #s(literal 1 binary64) y) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
(fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.f64 x y))) |
#s(approx (/ x (- y -1)) (/.f64 x y)) |
(/.f64 x y) |
| Outputs |
|---|
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
y |
(+ y (* x (+ 1 (* -1 y)))) |
1 |
(+ 1 (* -1 x)) |
(+ y (* -1 (* x y))) |
(* y (+ 1 (* -1 y))) |
(+ (* x (+ 1 (* y (- y 1)))) (* y (+ 1 (* -1 y)))) |
(* -1 x) |
(/ x (+ 1 y)) |
(/ x y) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* x (- (/ 1 x) 1)) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ 1 (* y (- y 1)))) |
(* x (+ 1 (+ (* y (- y 1)) (/ (* y (+ 1 (* -1 y))) x)))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (- (* y (+ 1 (* -1 y))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* -1 y))) x)) (* y (+ 1 (* -1 y)))) 1))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(* y (- 1 x)) |
(+ 1 (* -1 y)) |
(+ x (* -1 (* x y))) |
(+ x (* y (- (* x y) x))) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(* y (- (+ 1 (/ x y)) x)) |
(* (pow y 2) (- x 1)) |
(* (pow y 2) (- (+ x (/ 1 y)) (+ 1 (/ x y)))) |
(* (pow y 2) (- (+ x (+ (/ 1 y) (/ x (pow y 2)))) (+ 1 (/ x y)))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(/ (+ x (* -1 (/ x y))) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ x y))) y))) 1)) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (* (- 1 x) y) (- 1 x) (/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (* (- 1 y) y) (- 1 y) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (neg x) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (/ x y)) |
| 2.0ms | x | @ | inf | ((/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (* (- 1 x) y) (- 1 x) (/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (* (- 1 y) y) (- 1 y) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (neg x) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (/ x y)) |
| 1.0ms | y | @ | -inf | ((/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (* (- 1 x) y) (- 1 x) (/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (* (- 1 y) y) (- 1 y) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (neg x) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (/ x y)) |
| 1.0ms | y | @ | inf | ((/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (* (- 1 x) y) (- 1 x) (/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (* (- 1 y) y) (- 1 y) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (neg x) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (/ x y)) |
| 1.0ms | x | @ | 0 | ((/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (* (- 1 x) y) (- 1 x) (/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (* (- 1 y) y) (- 1 y) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (neg x) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (/ x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 179 | 618 |
| 1 | 576 | 564 |
| 2 | 1860 | 525 |
| 3 | 6910 | 523 |
| 0 | 8069 | 502 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
y |
(+ y (* x (+ 1 (* -1 y)))) |
1 |
(+ 1 (* -1 x)) |
(+ y (* -1 (* x y))) |
(* y (+ 1 (* -1 y))) |
(+ (* x (+ 1 (* y (- y 1)))) (* y (+ 1 (* -1 y)))) |
(* -1 x) |
(/ x (+ 1 y)) |
(/ x y) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* x (- (/ 1 x) 1)) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ 1 (* y (- y 1)))) |
(* x (+ 1 (+ (* y (- y 1)) (/ (* y (+ 1 (* -1 y))) x)))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (- (* y (+ 1 (* -1 y))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* -1 y))) x)) (* y (+ 1 (* -1 y)))) 1))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(* y (- 1 x)) |
(+ 1 (* -1 y)) |
(+ x (* -1 (* x y))) |
(+ x (* y (- (* x y) x))) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(* y (- (+ 1 (/ x y)) x)) |
(* (pow y 2) (- x 1)) |
(* (pow y 2) (- (+ x (/ 1 y)) (+ 1 (/ x y)))) |
(* (pow y 2) (- (+ x (+ (/ 1 y) (/ x (pow y 2)))) (+ 1 (/ x y)))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(/ (+ x (* -1 (/ x y))) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ x y))) y))) 1)) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
| Outputs |
|---|
(/ y (+ 1 y)) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
y |
(+ y (* x (+ 1 (* -1 y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ y (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(+ (* x (+ 1 (* y (- y 1)))) (* y (+ 1 (* -1 y)))) |
(fma.f64 y (fma.f64 (+.f64 #s(literal -1 binary64) y) x (-.f64 #s(literal 1 binary64) y)) x) |
(* -1 x) |
(neg.f64 x) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x y) |
(/.f64 x y) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/.f64 (fma.f64 (/.f64 y x) x x) (+.f64 #s(literal 1 binary64) y)) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(fma.f64 (-.f64 (/.f64 y x) y) x x) |
(* x (- (/ 1 x) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* x (+ (* -1 y) (/ y x))) |
(*.f64 (-.f64 (/.f64 y x) y) x) |
(* x (+ 1 (* y (- y 1)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (* y (- y 1)) (/ (* y (+ 1 (* -1 y))) x)))) |
(fma.f64 (*.f64 y x) (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) y) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(*.f64 (-.f64 (/.f64 (neg.f64 y) (fma.f64 y x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) (neg.f64 x)) |
(* -1 (* x (- y 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 (/.f64 y x) y) x x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(*.f64 (-.f64 (/.f64 y x) y) x) |
(* -1 (* x (- (* y (+ 1 (* -1 y))) 1))) |
(*.f64 (-.f64 y (fma.f64 y y #s(literal 1 binary64))) (neg.f64 x)) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* -1 y))) x)) (* y (+ 1 (* -1 y)))) 1))) |
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) y) x) y (-.f64 y (fma.f64 y y #s(literal 1 binary64)))) (neg.f64 x)) |
x |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) x)) y x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (-.f64 x #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ x (* y (- (* x y) x))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x (neg.f64 x)) y x) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) x) y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(-.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) x) y) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) y) #s(literal 1 binary64)) y)) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 (/.f64 x y) x) y y) |
(* (pow y 2) (- x 1)) |
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) y) |
(* (pow y 2) (- (+ x (/ 1 y)) (+ 1 (/ x y)))) |
(*.f64 (*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x) #s(literal 1 binary64)) y) y) |
(* (pow y 2) (- (+ x (+ (/ 1 y) (/ x (pow y 2)))) (+ 1 (/ x y)))) |
(*.f64 (-.f64 (-.f64 x (/.f64 (-.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) y)) #s(literal 1 binary64)) (*.f64 y y)) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (/ 1 y) 1)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) |
(/ (+ x (* -1 (/ x y))) y) |
(/.f64 (-.f64 x (/.f64 x y)) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x) y)) y) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) x) y)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)) y)) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 (/.f64 x y) x) y y) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ x y))) y))) 1)) |
(*.f64 (-.f64 (-.f64 x (/.f64 (-.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) y)) #s(literal 1 binary64)) (*.f64 y y)) |
(* -1 (* y (- 1 (/ 1 y)))) |
(*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(/.f64 (-.f64 x (/.f64 x y)) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x) y)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 188 |
| 0 | 46 | 188 |
| 1 | 189 | 188 |
| 2 | 1401 | 188 |
| 0 | 8934 | 182 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(-.f64 #s(literal 1 binary64) y) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
(fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.f64 x y))) |
#s(approx (/ x (- y -1)) (/.f64 x y)) |
(/.f64 x y) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x)) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 #s(approx (- 1 x) #s(literal 1 binary64))) y) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 #s(approx (- 1 x) #s(literal 1 binary64))) y) (*.f64 (neg.f64 #s(approx (- 1 x) #s(literal 1 binary64))) y) (*.f64 x (*.f64 (neg.f64 #s(approx (- 1 x) #s(literal 1 binary64))) y))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) #s(approx (- 1 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 y) #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 (neg.f64 y) #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 x (*.f64 (neg.f64 y) #s(approx (- 1 x) #s(literal 1 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x)))) |
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(-.f64 (pow.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) y) |
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 1 binary64) y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x)) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 #s(approx (- 1 x) (neg.f64 x))) y) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 #s(approx (- 1 x) (neg.f64 x))) y) (*.f64 (neg.f64 #s(approx (- 1 x) (neg.f64 x))) y) (*.f64 x (*.f64 (neg.f64 #s(approx (- 1 x) (neg.f64 x))) y))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) #s(approx (- 1 x) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 y) #s(approx (- 1 x) (neg.f64 x))) (*.f64 (neg.f64 y) #s(approx (- 1 x) (neg.f64 x))) (*.f64 x (*.f64 (neg.f64 y) #s(approx (- 1 x) (neg.f64 x))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x)) (*.f64 (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64))) (*.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64))) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64))) (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (*.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y x)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (*.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))) |
(fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) |
(fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x))) |
(-.f64 x (*.f64 (neg.f64 #s(approx (- 1 x) (neg.f64 x))) y)) |
(-.f64 x (*.f64 (neg.f64 y) #s(approx (- 1 x) (neg.f64 x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (*.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (*.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y x)))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (*.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y x))))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (*.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y x)))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x))) |
(+.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x) |
(+.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.f64 x y))) |
#s(approx (/ x (- y -1)) (/.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(neg.f64 (/.f64 x (neg.f64 y))) |
Compiled 7 028 to 850 computations (87.9% saved)
12 alts after pruning (3 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 183 | 2 | 185 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 183 | 12 | 195 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| ✓ | 86.7% | (/.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (+.f64 y #s(literal 1 binary64))) |
| ▶ | 39.5% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) x) y x)) |
| ✓ | 39.1% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
| ✓ | 49.9% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
| ✓ | 50.1% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
| ✓ | 52.1% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
| ✓ | 15.7% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.f64 x y))) |
| ✓ | 12.6% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
| ▶ | 2.4% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
| ✓ | 12.8% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
| ▶ | 3.0% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
Compiled 225 to 146 computations (35.1% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) x) | |
| cost-diff | 0 | (fma.f64 (-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) x) y x) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) x) y x)) | |
| cost-diff | 0 | #s(approx (- 1 y) (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) | |
| cost-diff | 0 | #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) y) | |
| cost-diff | 0 | #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)) | |
| cost-diff | 0 | #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y))) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 200 |
| 0 | 39 | 200 |
| 1 | 59 | 200 |
| 2 | 89 | 200 |
| 3 | 170 | 200 |
| 4 | 362 | 200 |
| 5 | 613 | 200 |
| 6 | 1161 | 196 |
| 7 | 1559 | 196 |
| 8 | 2012 | 196 |
| 9 | 3216 | 196 |
| 10 | 4531 | 196 |
| 11 | 5431 | 196 |
| 12 | 7347 | 196 |
| 0 | 8179 | 188 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
#s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y))) |
#s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) y) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) x) y x)) |
(fma.f64 (-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) x) y x) |
(-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) x) |
#s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
#s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y))) |
#s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) y) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) y x)) |
(fma.f64 (-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) x) y x) |
(fma.f64 (-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) y x) |
(-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) x) |
(-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) |
#s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) |
#s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) x) | |
| accuracy | 0.01953125 | (fma.f64 (-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) x) y x) | |
| accuracy | 32.27852882325266 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) x) y x)) | |
| accuracy | 41.29385915781845 | #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) | |
| accuracy | 0.0078125 | (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) | |
| accuracy | 30.871219576531583 | #s(approx (- 1 y) (neg.f64 y)) | |
| accuracy | 32.27852882325266 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) | |
| accuracy | 34.69875543273552 | #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 23.87220212732231 | #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y))) | |
| accuracy | 32.14659450849623 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) | |
| accuracy | 33.25136620465648 | #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)) |
| 87.0ms | 256× | 0 | valid |
Compiled 101 to 23 computations (77.2% saved)
ival-mult: 52.0ms (68.4% of total)ival-sub: 14.0ms (18.4% of total)ival-add: 6.0ms (7.9% of total)ival-div: 2.0ms (2.6% of total)ival-neg: 2.0ms (2.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
#s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y))) |
#s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) y) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) y) |
#s(approx (- 1 y) (neg.f64 y)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) x) y x)) |
(fma.f64 (-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) x) y x) |
(-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) x) |
#s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) |
(neg.f64 x) |
| Outputs |
|---|
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
y |
(+ y (* x (+ 1 (* -1 y)))) |
(+ y (* -1 (* x y))) |
(* -1 (* x y)) |
(* y (+ 1 (* -1 y))) |
(+ (* x (+ 1 (* y (- y 1)))) (* y (+ 1 (* -1 y)))) |
(+ 1 (* -1 y)) |
(+ 1 (+ (* -1 y) (* x (- y 1)))) |
(+ 1 (+ (* -1 y) (* x y))) |
(* -1 x) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ 1 (* y (- y 1)))) |
(* x (+ 1 (+ (* y (- y 1)) (/ (* y (+ 1 (* -1 y))) x)))) |
(* x (- y 1)) |
(* x (- (+ y (+ (* -1 (/ y x)) (/ 1 x))) 1)) |
(* x y) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (- (* y (+ 1 (* -1 y))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* -1 y))) x)) (* y (+ 1 (* -1 y)))) 1))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(* y (- 1 x)) |
1 |
(- 1 x) |
(- (+ 1 (* y (- x 1))) x) |
(+ 1 (* y (- x 1))) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(* y (- (+ 1 (/ x y)) x)) |
(* (pow y 2) (- x 1)) |
(* (pow y 2) (- (+ x (/ 1 y)) (+ 1 (/ x y)))) |
(* (pow y 2) (- (+ x (+ (/ 1 y) (/ x (pow y 2)))) (+ 1 (/ x y)))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- x 1)) |
(* y (- (+ x (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (+ x (/ 1 y)) 1)) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ x y))) y))) 1)) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (* (- 1 x) y) (* (neg x) y) (/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (* (- 1 y) y) (- 1 y) (/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (- (+ (* (- x 1) y) 1) x) (+ (* (- x 1) y) 1) (neg x)) |
| 1.0ms | y | @ | inf | ((/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (* (- 1 x) y) (* (neg x) y) (/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (* (- 1 y) y) (- 1 y) (/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (- (+ (* (- x 1) y) 1) x) (+ (* (- x 1) y) 1) (neg x)) |
| 1.0ms | x | @ | inf | ((/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (* (- 1 x) y) (* (neg x) y) (/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (* (- 1 y) y) (- 1 y) (/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (- (+ (* (- x 1) y) 1) x) (+ (* (- x 1) y) 1) (neg x)) |
| 1.0ms | x | @ | -inf | ((/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (* (- 1 x) y) (* (neg x) y) (/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (* (- 1 y) y) (- 1 y) (/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (- (+ (* (- x 1) y) 1) x) (+ (* (- x 1) y) 1) (neg x)) |
| 1.0ms | x | @ | 0 | ((/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (* (- 1 x) y) (* (neg x) y) (/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (* (- 1 y) y) (- 1 y) (/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (- (+ (* (- x 1) y) 1) x) (+ (* (- x 1) y) 1) (neg x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 169 | 614 |
| 1 | 566 | 572 |
| 2 | 1963 | 524 |
| 3 | 7846 | 522 |
| 0 | 8387 | 495 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
y |
(+ y (* x (+ 1 (* -1 y)))) |
(+ y (* -1 (* x y))) |
(* -1 (* x y)) |
(* y (+ 1 (* -1 y))) |
(+ (* x (+ 1 (* y (- y 1)))) (* y (+ 1 (* -1 y)))) |
(+ 1 (* -1 y)) |
(+ 1 (+ (* -1 y) (* x (- y 1)))) |
(+ 1 (+ (* -1 y) (* x y))) |
(* -1 x) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ 1 (* y (- y 1)))) |
(* x (+ 1 (+ (* y (- y 1)) (/ (* y (+ 1 (* -1 y))) x)))) |
(* x (- y 1)) |
(* x (- (+ y (+ (* -1 (/ y x)) (/ 1 x))) 1)) |
(* x y) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (- (* y (+ 1 (* -1 y))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* -1 y))) x)) (* y (+ 1 (* -1 y)))) 1))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(* y (- 1 x)) |
1 |
(- 1 x) |
(- (+ 1 (* y (- x 1))) x) |
(+ 1 (* y (- x 1))) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(* y (- (+ 1 (/ x y)) x)) |
(* (pow y 2) (- x 1)) |
(* (pow y 2) (- (+ x (/ 1 y)) (+ 1 (/ x y)))) |
(* (pow y 2) (- (+ x (+ (/ 1 y) (/ x (pow y 2)))) (+ 1 (/ x y)))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- x 1)) |
(* y (- (+ x (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (+ x (/ 1 y)) 1)) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ x y))) y))) 1)) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
| Outputs |
|---|
(/ y (+ 1 y)) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
y |
(+ y (* x (+ 1 (* -1 y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ y (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* y (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(+ (* x (+ 1 (* y (- y 1)))) (* y (+ 1 (* -1 y)))) |
(fma.f64 y (fma.f64 (-.f64 y #s(literal 1 binary64)) x (-.f64 #s(literal 1 binary64) y)) x) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (+ (* -1 y) (* x (- y 1)))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x (-.f64 #s(literal 1 binary64) y)) |
(+ 1 (+ (* -1 y) (* x y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(* x (+ (* -1 y) (/ y x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* x (+ 1 (* y (- y 1)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (* y (- y 1)) (/ (* y (+ 1 (* -1 y))) x)))) |
(fma.f64 y (fma.f64 (-.f64 y #s(literal 1 binary64)) x (-.f64 #s(literal 1 binary64) y)) x) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- (+ y (+ (* -1 (/ y x)) (/ 1 x))) 1)) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x (-.f64 #s(literal 1 binary64) y)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(*.f64 (-.f64 (/.f64 (neg.f64 y) (fma.f64 y x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) (neg.f64 x)) |
(* -1 (* x (- y 1))) |
(*.f64 (neg.f64 x) (-.f64 y #s(literal 1 binary64))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(-.f64 y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* x (- (* y (+ 1 (* -1 y))) 1))) |
(*.f64 (-.f64 y (fma.f64 y y #s(literal 1 binary64))) (neg.f64 x)) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* -1 y))) x)) (* y (+ 1 (* -1 y)))) 1))) |
(neg.f64 (fma.f64 (+.f64 #s(literal -1 binary64) y) y (*.f64 (-.f64 y (fma.f64 y y #s(literal 1 binary64))) x))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(fma.f64 y x (neg.f64 x)) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
x |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 (fma.f64 (+.f64 #s(literal -1 binary64) y) x (-.f64 #s(literal 1 binary64) y)) y x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(fma.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)) x) y x) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
1 |
#s(literal 1 binary64) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* y (- x 1))) x) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) x (-.f64 #s(literal 1 binary64) y)) |
(+ 1 (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) x) y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(-.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) x) y) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) y) #s(literal 1 binary64)) y)) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 (/.f64 x y) x) y y) |
(* (pow y 2) (- x 1)) |
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) y) y) |
(* (pow y 2) (- (+ x (/ 1 y)) (+ 1 (/ x y)))) |
(*.f64 (*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x) #s(literal 1 binary64)) y) y) |
(* (pow y 2) (- (+ x (+ (/ 1 y) (/ x (pow y 2)))) (+ 1 (/ x y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) y) (-.f64 #s(literal 1 binary64) x)) (*.f64 y y)) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (/ 1 y) 1)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) |
(* y (- x 1)) |
(*.f64 (+.f64 #s(literal -1 binary64) x) y) |
(* y (- (+ x (/ 1 y)) (+ 1 (/ x y)))) |
(*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x) #s(literal 1 binary64)) y) |
(* y (- (+ x (/ 1 y)) 1)) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) y) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) x) y)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)) y)) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 (/.f64 x y) x) y y) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ x y))) y))) 1)) |
(*.f64 (-.f64 (/.f64 (-.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) y) (-.f64 #s(literal 1 binary64) x)) (*.f64 y y)) |
(* -1 (* y (- 1 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ (- 1 x) y))))) |
(*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x) #s(literal 1 binary64)) y) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
(*.f64 (-.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 190 |
| 0 | 39 | 190 |
| 1 | 169 | 190 |
| 2 | 1280 | 190 |
| 0 | 8623 | 180 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
#s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y))) |
#s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) y) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) y) |
#s(approx (- 1 y) (neg.f64 y)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) x) y x)) |
(fma.f64 (-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) x) y x) |
(-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) x) |
#s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) |
(neg.f64 x) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
#s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y))) |
#s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 y) x) |
(*.f64 (neg.f64 x) y) |
(*.f64 y (neg.f64 x)) |
(*.f64 x (neg.f64 y)) |
(neg.f64 (*.f64 y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 2 binary64)) (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x)) (*.f64 (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) (*.f64 x x))) (*.f64 (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 2 binary64)))) (*.f64 (fma.f64 x (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 2 binary64))) (fma.f64 x (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x)) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 2 binary64)) (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x)) (/.f64 (*.f64 x x) (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x))) |
(-.f64 (/.f64 (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 2 binary64))))) |
(-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) |
(+.f64 (/.f64 (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 2 binary64)) (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x))) |
#s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) |
(neg.f64 x) |
Compiled 5 339 to 454 computations (91.5% saved)
13 alts after pruning (1 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 103 | 1 | 104 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 9 | 9 |
| Total | 103 | 13 | 116 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| ✓ | 86.7% | (/.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (+.f64 y #s(literal 1 binary64))) |
| ✓ | 39.5% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) x) y x)) |
| ✓ | 39.1% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
| ✓ | 49.9% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
| ✓ | 50.1% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
| ✓ | 52.1% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
| ✓ | 15.7% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.f64 x y))) |
| ✓ | 12.6% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
| ✓ | 2.4% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
| 13.3% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) | |
| ✓ | 12.8% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
| ✓ | 3.0% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
Compiled 541 to 240 computations (55.6% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.f64 x y))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) x) y x)) |
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) y x)) |
(/.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (+.f64 y #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
3 calls:
| 5.0ms | x |
| 5.0ms | y |
| 4.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.f64 x y))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) x) y x)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
3 calls:
| 164.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 4.0ms | x |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 4 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 81.9% | 3 | x |
| 87.0% | 3 | y |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.f64 x y))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
3 calls:
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.9% | 3 | x |
| 62.9% | 3 | y |
| 62.9% | 3 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.f64 x y))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.f64 x y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.f64 x y))) |
3 calls:
| 3.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 3.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.7% | 2 | x |
| 62.5% | 3 | y |
| 49.9% | 1 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
3 calls:
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.9% | 1 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 49.9% | 1 | x |
| 49.9% | 1 | y |
Compiled 9 to 10 computations (-11.1% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) |
3 calls:
| 53.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 13.3% | 1 | x |
| 13.3% | 1 | y |
| 13.3% | 1 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Compiled 9 to 10 computations (-11.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000000065265995 | 1162437979.4181006 |
| 0.0ms | 0.06815925416619675 | 0.9939251453789114 |
| 0.0ms | -16607261.475829827 | -1963.4470869077568 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999994207589 | 1.0 |
| 0.0ms | -16607261.475829827 | -1963.4470869077568 |
Compiled 10 to 11 computations (-10% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 163.6129927996214 | 1.417574001550712e+20 |
| 12.0ms | -144230962.7905082 | -2.0682170035683004e-7 |
| 12.0ms | 320× | 0 | valid |
Compiled 630 to 491 computations (22.1% saved)
ival-add: 3.0ms (52.9% of total)ival-div: 2.0ms (35.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 225 |
| 1 | 79 | 225 |
| 2 | 106 | 225 |
| 3 | 179 | 225 |
| 4 | 351 | 225 |
| 5 | 597 | 225 |
| 6 | 1233 | 223 |
| 7 | 1633 | 223 |
| 8 | 2093 | 223 |
| 9 | 2807 | 223 |
| 10 | 3934 | 223 |
| 11 | 7013 | 223 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -10000000 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64))))))) |
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -10000000 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2251799812380913/2251799813685248 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.f64 x y))) (if (<=.f64 y #s(literal 230 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.f64 x y))))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -10000000 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64))))))) |
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -10000000 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2251799812380913/2251799813685248 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))))) |
(if (or (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -10000000 binary64)) (not (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2251799812380913/2251799813685248 binary64)))) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.f64 x y))) (if (<=.f64 y #s(literal 230 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.f64 x y))))) |
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 230 binary64)))) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.f64 x y))) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 226 | 852 |
| 1 | 752 | 786 |
| 2 | 2472 | 743 |
| 0 | 8370 | 708 |
| 0 | 169 | 614 |
| 1 | 566 | 572 |
| 2 | 1963 | 524 |
| 3 | 7846 | 522 |
| 0 | 8387 | 495 |
| 0 | 179 | 618 |
| 1 | 576 | 564 |
| 2 | 1860 | 525 |
| 3 | 6910 | 523 |
| 0 | 8069 | 502 |
| 0 | 88 | 243 |
| 1 | 270 | 228 |
| 2 | 789 | 202 |
| 3 | 3223 | 198 |
| 0 | 8285 | 186 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 329 to 147 computations (55.3% saved)
Compiled 464 to 132 computations (71.6% saved)
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